The diagram shows a plan of a pond.
The pond is a circle with radius 2m.
Work out the area of the pond.
Take it to be 3.142 and write down all the digits given by your calculator.

Answers

Answer 1

Step-by-step explanation:

R=2m

A=πr²

A = 3.142*2*2

=12.568 m2

Answer 2

Answer:

12.6m

Step-by-step explanation:

The area of a circle is [tex]\pi r^{2}[/tex]

When you plug the 2 in it becomes [tex]2^2[/tex]x3.142

You should then get 12.568

Assuming you have to estimate it will be 12.6m


Related Questions

Which interval would not be used for the stems of a stem-and-leaf plot? 10 100 1 5

Answers

Answer:

i think it's 100

Step-by-step explanation:

100 is the interval which would not be used for the stems of a stem-and-leaf plot.

What is Statistics?

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

In a stem-and-leaf plot, the stem is typically the leftmost digits of a number and the leaf is the rightmost digit.

The stem represents the largest common place value of the numbers being plotted.

If the data set is {12, 15, 21, 26, 30, 31, 35, 38}, the stem would be the tens place and the leaf would be the ones place.

The stem values would be 1, 2, 3, and 4.

Therefore, the interval for the stems should be determined by the range of the data set.

Hence, 100 is the interval which would not be used for the stems of a stem-and-leaf plot.

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SOMEONE PLEASE HELP ME ASAP PLEASE!!!​

Answers

Answer:

[tex]y=-4x+5[/tex]

Step-by-step explanation:

Parallel lines have the same slope, but different y-intecpets. They are lines that travel in the same directions but never intercept.

Answer:

-4

Step-by-step explanation:

Parallel lines have the same slope. So if one line had a slope of -4, the other line would too.

Solve this system using the substitution method: y = 6x – 5; y = (2/3)x + 1

Answers

Answer:

x = 1.125

Step-by-step explanation:

6x – 5 = (2/3)x + 1

6x - (2/3)x = 1 + 5

(16/3)x = 6

x = 9/8

x = 1.125

What is the area of the obtuse triangle below?
다​

Answers

Answer

B. 49.5 sq. units

Explanation

An area of a triangle is

B • H / 2

Where b = base and h = height.

Substitute base = 11 and h = 9

9 • 11 / 2 = 49.5

<~>\_/<~> Ho_odini <~>\_/<~>
49.5 because you aren’t all the way at 9 I have no other way to explain it

What are the zeros of the polynomial function f(x) = x3 − x2 − 12x?

Answers

Answer:

x = 0, x = 4, x = -3

Step-by-step explanation:

Factor out the x, which makes it x(x^2-x-12)

Then it will be x(x-4)(x+3)

x = 0

x - 4 = 0, x = 4

x + 3 = 0, x = -3

Consider the polynomial function g(x)=5x^6+x^5+9x^3-12x-125 What is the end behavior of the graph of g?

Answers

Answer:

As x —> infinity, g(x)—> infinity, and as x —> Negative infinity, g(x) —> Infinity

Step-by-step explanation:

Because

The end behavior of the graph will be as x tends to infinity, g(x) will tend to infinity, and as x tends to Negative infinity, g(x) tend to Infinity.

What is a polynomial function?

A quadratic, cubic, quartic, and other functions involving only non-negative integer powers of x are examples of polynomial functions. We can define a polynomial's degree and provide a generic definition for it.

A function in mathematics set up a relationship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.

The given function is g(x)=5x ⁶+x⁵+9x³-12x-125 will have the end behavior of the graph as x tends to infinity, g(x) will tend to infinity, and as x tends to Negative infinity, g(x) tend to Infinity.

Therefore, the end behavior of the graph will be as x tends to infinity, g(x) will tend to infinity, and as x tends to Negative infinity, g(x) tend to Infinity.

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a storybook is sold at a discount of 20%. If the discount is $3, what is the selling price of the storybook

Answers

Answer:

Step-by-step explanation: the discount on the original price is a 20% discount, so it is 20% of x, or 0.2x.

We are told the discount is $3, so 0.2x = 3. Now we solve the equation for x.

0.2x = 3

Divide both sides by 0.2.

x = 3/0.2

x = 15

The regular price is $15.

Answer:

12

Step-by-step explanation:

x = original price

x* 20% = 3

Change to decimal form

x*.2 = 3

Divide each side by .2

x*.2 /.2 = 3/.2

x =15

The original price is 15

Selling price is 15-3 = 12

pls hurry the answer is not 36.......Given a * b=ba−ba+ab, find (2*3)×(3*2).

Answers

Answer:

36

Step-by-step explanation:

In the above question, we have been given a rule to follow

Given a * b = ba−ba+ab

We are to find (2*3)×(3*2)

Let simplify each bracket first

a * b = ba−ba+ab

2*3, a = 2, b = 3

2*3 = 3×2 - 3×2 + 2×3

= 6 - 6 + 6

= 6

a * b = ba−ba+ab

3*2, a = 3, b = 2

3*2 = 2×3 - 2×3 + 3×2

= 6 - 6 + 6

= 6

(2*3)×(3*2)

= 6 × 6

= 36

The answer is 36

14. Mike is riding his bike at 15 miles per
hour. (1.2)
a. What is his speed in feet per second?
(Use 5280 feet in each mile)
b. If John is riding at 25 feet per second,
who is riding faster, explain how you
know?
I

Answers

Answer:

a) 1320 feet

b) John

Step-by-step explanation:

a) 15/60 miles per minute = 1/4 mile per minute

1/4*5280= 1320 foot per min

------------------------------------------------------

25 feet per sec--------->  60*25 feet per min = 1500 feet per min

so john is faster

which best describes the main source of energy in the united states

Answers

Answer: B) Culture B

Step-by-step explanation:

As culture B doubles every hour you would have over 2.6 million by hour 18, far, far more than culture A, which increases by 1.5x each hour, that would only become 1.4 million.

I need help ASAP will give you brainlynest (however you spell it)

Answers

Answer:

35.69 deg

Step-by-step explanation:

It is 35.69 degrees.

Explanation:

Triangles have angles that always add up to 180 degrees.

You already have a 90 degree angle (the square in the corner)

If leg a is 7
And leg c is 12
Then leg b is going to be 9.75


Unit Conversion:
Using the formula
c=a2+b2
Solving forb
b=c2﹣a2=122﹣72≈9.74679

This concludes that angle P is 35.6
And angle O is 54.4

And the one we all ready know the right angle which is 90.

To double check
35.6+54.4=90
And 90+90= 180

Which of the following polynomials is in standard form?
O A. F(X) = 10+2x2 + x - 4x-9x?
B. F(x)=-9x2 - 4x + x + 2x2 +10
O C. F(X) = 10-9x2 - 4x+2x2 + x
OD. F(x) = x* -9xº + 2x2 - 4x +10

Answers

D. f(x)= x*-9x^o+2x^2-4x+10

Answer:

Step-by-step explanation:

None of these are in standard form.  In standard form the powers of x are arranged in descending order, which is not the case here.  Also, all terms containing the same power of x (such as x - 4x - 9x) should be simplified into ONE term with ONE coefficient.

Honeydew lemons sell in a market place for $24.95 per box. One box contains 9 melons. How much would you have to pay for 17 melons?​

Answers

Answer:

47.13 for 17 melons

Step-by-step explanation:

We can use a ratio to solve

24.95               x dollars

---------------- = ----------------

9 melons          17 melons

Using cross products

24.95 * 17 = 9x

Divide by 9

24.95 * 17/9 = x

47.127777777 = x

Rounding to the nearest cent

47.13 for 17 melons

Answer:

$47.12

Step-by-step explanation:

We know that 1 box has 9 lemons and each box is $24.95. Therefore, 1 lemon costs 24.95/9 dollars. That leads us to know that 17 lemons cost (24.95/9 * 17). Once we plug that into the calculator and round to the nearest hundreth place, we get $47.12.  

Which of the following operations would be used to solve y−7=38?
- 7
×−7
+ 7
-266

Answers

Answer:

Add 7 to each side

Step-by-step explanation:

y−7=38

Add 7 to each side

y−7+7=38+7

y = 45

Answer: add 7

Step-by-step explanation: To solve for y, we need to isolate y and we do that by using inverse operations.

Since we have -7 on the left side, the opposite of subtracting is adding.

So we add 7 to both sides to get y = 45.

Maria is making a stained glass window using glass tiles. Each tile is 1/4 inch by 1/4 inch. The window is 14 inches wide by 20 inches long.. How many glass tiles will Maria need to make her stained glass window?

answer choices
4,480
2,240,
1,120
280

Answers

Answer:

4,480

Step-by-step explanation:

In the above question, we are told that the measurements of the stained glass windows Maria intends to make is 14 inches wide by 20 inches long.

Step 1

We find the area of the window

Length × Width ( Breadth)

= 20 × 14 = 280 square inches

Step 2

The tiles that she intends to use has the following measurements

1/4 inch by 1/4 inch

The Area of these glass tiles = 1/4 × 1/4 = 1/16 square inches.

Step 3

Finally to calculate the number of tiles that she would required to make the stained glass window =

Area of the window ÷ Area of the glass tiles

= 280 square inches ÷ 1/16 square inches

= 4,480

Therefore, Maria would be needing 4,480 glass tiles to make her stained glass window.

Please help me I would appreciate it

Answers

Answer:

m<1= 50 degrees

m<2= 130 degrees

m<3= 50 degrees

m<4= 130 degrees

m<5= 40 degrees

m<6= 30 degrees

Step-by-step explanation:

All of the angles of triangles equal to 180 degrees, so you can solve all of the angles based on that info :)

60 boys at a summer camp were asked to complete a survey about their favorite outdoor activity. 18 boys chose biking and 29 boys chose fishing. The remaining boys did not complete the survey. Which expression gives the percent of survey participants who chose fishing?

Answers

first youll want to add 18 and 29. which gives you 43. then you’ll want to find out how much is 29 people percentage wise. so you’ll do 29/43 which gives you 67.44% if it’s answer choices. you round it to the most whole number if they don’t use decimals.

Answer:

Step-by-step explanation:  29/18+29 x 100

Evelyn flips three coins simultaneously. The theoretical probability that only two of the coins will turn up heads 3/8. If Evelyn flips the three coins simultaneously 200 times, how many times can she expect only two heads to turn up

Answers

Answer:

75

Step-by-step explanation:

200 ÷ 8 = 25

25 x 3 = 75

The number of times 2 coins will turn heads up is 75, the correct option is D.

What is Probability?

Probability is the measure of the likeliness of an event to happen.

The probability has a range from 0 to 1, 0 denotes uncertainty and 1 indicates certainty.

When 3 coins are flipped, there is two probabilities,

The probability of getting a head or a tail is 1/2.

The probability that there will be 2 coins that will turn up heads is 3/8

Probability is defined as the ratio of favorable outcomes to total outcomes.

If Evelyn flips the three coins simultaneously 200 times, the number of times she can expect only two heads to turn up is given by,

= (3/8) * 200

= 75

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Find the inequality represented by the graph?

Answers

Answer:

y > -2/3x + 3

Step-by-step explanation:

Well lets first start with the beginning and look at its features.

                                                          Features                                                          

- Dashed line

- Shaded up

- negative slope

- y intercept at 3

____________________________________________________________

So if the line is dashed with the shade going up that means the inequality starts like this,

y >

We can tell that the y intercept is at 3 because that the point the line touches the y axis.

So we got y > 3,

To find slope we use the following formula,

[tex]\frac{y^2-y^1}{x^2-x^1}[/tex],

So we can use points (0,3) and (3,1).

1 is y2 and 3 is y1 so 1 - 3 = -2

3 - 0 = 3

Slope: -2/3x

Thus,

the inequality is y > -2/3x + 3.

Hope this helps :)

The inequality [tex]y > -\frac{2}{3}\cdot x + 3[/tex] is represented by the graph.

According to the figure, we have an inequation of the form [tex]y > f(x)[/tex], where [tex]f(x)[/tex] is a linear function.

The linear function can be found by using the point-slope formula:

[tex]y-y_{1} = \left(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\right)\cdot (x-x_{1})[/tex] (1)

If we know that [tex](x_{1}, y_{1}) = (0, 3)[/tex] and [tex](x_{2}, y_{2}) = (3, 1)[/tex], then the linear function is:

[tex]y -3 = \left(\frac{1-3}{3-0} \right)\cdot x[/tex]

[tex]y = -\frac{2}{3}\cdot x+3[/tex] (1b)

The inequality [tex]y > -\frac{2}{3}\cdot x + 3[/tex] is represented by the graph.

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Please help me with the question below

Answers

Answer: In the top box:   S ≥ 2000 - (S + 178)    

S ≥ 2000 - A      A = S + 178  substituted for  A in the first  equation

The solution is S ≥ 911    and  A ≥ 1089

Step-by-step explanation:

S ≥ 2000 - (S + 178)

S ≥ 2000 - S -178    Add S to both sides,

S + S ≥ 2000 -178

2S ≥ 1822

S ≥ 911     so  A ≥ 911 + 178   A≥ 1089  (but the question shown doesn't ask that)

This means that if Shane collected at least 911 cans and Abha collected at least 1089, their total was at least 2000.

To the nearest tenth of a square centimeter, what is the
surface area of the cone if the radius of its base is 5 cm and
its height is 12?

Answers

Answer: approximately 282.7 square cm

Work Shown:

SA = surface area of cone

SA = pi*r^2 + pi*r*sqrt(r^2 + h^2)

SA = pi*5^2 + pi*5*sqrt(5^2 + h^2) ... plug in r = 5

SA = pi*5^2 + pi*5*sqrt(5^2 + 12^2) ... plug in h = 12

SA = pi*25 + pi*5*sqrt(169)

SA = 25pi + 5pi*13

SA = 25pi + 65pi

SA = 90pi .... exact surface area in terms of pi

SA = 282.743338823081 .... see note below

SA = 282.7

note: this is the approximate surface area. I used the calculator's stored value of pi, rather than something like pi = 3.14; that way the surface area is as accurate as possible. Your teacher may want you to use pi = 3.14 though, which is why its a good idea to ask and clarify.

10. The sum of four consecutive integers is at least 18. What's the smallest consecutive integer to make this statement true?
O A.3
O B.4
O C.5
O D.8

Answers

Answer:

A. 3

Step-by-step explanation:

Let the integers be

x

(x+1)

(x+2)

(x+3)

Sum the integers

We have,

x+(x+1)+(x+2)+(x+3)=18

x+x+1+x+2+x+3=18

4x+6=18

Subtract 6 from both sides

4x-6=18-6

4x=12

Divide both sides by 4

4x/4=12/4

x=3

The smallest integer which is x is equal to 3

Check:

3+4+5+6=18

12/ y + 8 = 4/9 Thats the question. Im dyin for help. :)

Answers

Answer:

-1 10/17

Step-by-step explanation:

Answer:

y = 1 10/17

Step-by-step explanation:

The LCD is 9y.  Multiply all three terms by 9y:

(9y)(12)                   (9y)(4)

----------- + 8(9y) = -----------

     y                           9

This reduces to 108 + 72y = 4y, or 108 = -68y

Dividing both sides by 68, we get y = 1 10/17

The rules of a contest say that there is a 5% chance of winning a prize. 400 people enter the contest. Predict how many people will win a prize.​

Answers

Answer:

20 people

Step-by-step explanation:

In this problem, you are solving for 5% of 400. All percentages are out of 100, meaning 5% equals 0.05 because 5 ÷ 100 = 0.05

1. Multiply 400 by 5% (0.05)

400 · 0.05 = 20 people

Answer:

20 people will win

Step-by-step explanation:

i used a notes and google to answer this :)

Which statement about this figure is true?

Answers

I'd have to say it Has Reflectional Symmetry.

Tom counted the number of cards in his collection for 10 weeks. By week 5, he had collected 12 cards. How many cards had he collected by week 9? 5 18 4 20 Tom counted the number of cards in his collection for 10 weeks. By week 5, he had collected 12 cards. How many cards had he collected by week 9? 5 18 4 20 Graph showing how many cards were collected each week. Vertical axis labeled Cards collected. Coordinate pairs plotted at 1,4, 2,6, 3,8, 4,9, 5,12, 6,13, 7,14, 8,15, 9,18, 10,20.

Answers

Answer:

20

Step-by-step explanation:

12/5 means roughly 2 cards per week

In 4 weeks he would get 8 additional cards

12+8=20

Hope this help!

Can I pls have help with question 8 and 9

Answers

Answer:

2.88 kilometers

Step-by-step explanation:

8. If the round trip took 17/20 of an hour.

How long does it take in minutes?

1 hour=60 minutes

17/20*60

=17*3

=51 minutes

9. Calculate the distance between the supermarket and Hilary's house

Speed=distance/time

Distance=speed × time

Total speed=30km/h+12km/h

=42km/h

Total time=17/20 hour

Time spent for 30km/h=30/42*17/20

=510/840

=0.61h

Time spent for 12km/h=12/42*17/20

=204/840

=0.24h

Supermarket to Hilary's house=12km/h

Distance=speed × time

=12×0.24

=2.88 kilometers

Using six random samples, the average number of catfish in the samples was 5.7. If the total population of fish in the pond is 200, the proportion of catfish in the pond will be 5.7 20 = x 200 . What is the predicted number of catfish in the pond?

Answers

Answer:

The predicted number of catfish in the pond is 57.

Step-by-step explanation:

We are given that the average number of catfish in the samples was 5.7. If the total population of fish in the pond is 200, the proportion of catfish in the pond will be 5.7/20 = x/200.

We have to calculate the predicted number of catfish in the pond.

The given proportion to us is;

[tex]\frac{5.7}{20}=\frac{x}{200}[/tex]

Cross multiplying both the fractions we get;

[tex]5.7 \times 200=x \times 20[/tex]

[tex]\frac{57}{10} \times 200=x \times 20[/tex]

[tex]{57} \times 20=x \times 20[/tex]

[tex]x = \frac{57 \times 20}{20}[/tex]

[tex]x = 57[/tex]  

So, the predicted number of catfish in the pond is 57.

Answer:

57        

Step-by-step explanation:

Big brain.

Gemma is creating a histogram based on the table below. Salary Range Number of People 0 - $19,999 40 $20,000 - $39,999 30 $40,000 - $59,999 35 Which scale can she use for the vertical axis such that the difference in the heights of the bars is maximized? 0–50 0–40 10–50 25–40

Answers

Answer:

Hello!

~~~~~~~~~~~~~~~~~~~~~

Your answer would be (D) 25–40

Step-by-step explanation: The largest amount od people is 40 the lowest amount is 35 so to maximize the bars you would want the smallest range.

Thus, (D) is the correct answer.

Answer:

Its D

Step-by-step explanation:

for all the ppl who don't care how they got it

2 Points
What are the zeros of f(x) = (x - 1)(x+6)? Select all that apply.
O A. x= 1
O B. x = 6
C. x= -6
D. x= -1
SUBE

Answers

The zeroes of f(x) are x = 1 or x = -6

What are zeroes of a function?

Zeroes of a function are the values of that function that makes the function equal to zero.

Analysis:

For f(x0 = (x-1)(x+6) to have zeroes, then f(x) = 0

0 = (x-1)(x+6)

x-1 = 0 or x + 6 = 0

x = 1 or x = -6

In conclusion, the zeroes of the function f(x) = (x-1)(x+6) are 1 or -6

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